Expanding the left side of the equation:
(12x+1)(3x-1) - (6x+2)^2= 36x^2 - 12x + 3x - 1 - (36x^2 + 24x + 4)= 36x^2 - 9x - 1 - 36x^2 - 24x - 4= -33x - 5
Setting this equal to 10:
-33x - 5 = 10-33x = 15x = -15/33x = -5/11
Therefore, the solution to the equation is x = -5/11.
Expanding the left side of the equation:
(12x+1)(3x-1) - (6x+2)^2
= 36x^2 - 12x + 3x - 1 - (36x^2 + 24x + 4)
= 36x^2 - 9x - 1 - 36x^2 - 24x - 4
= -33x - 5
Setting this equal to 10:
-33x - 5 = 10
-33x = 15
x = -15/33
x = -5/11
Therefore, the solution to the equation is x = -5/11.